JEE Main & Advanced Mathematics Functions Question Bank Functions

  • question_answer
    Domain of the function \[\frac{\sqrt{1+x}-\sqrt{1-x}}{x}\] is

    A)            (?1, 1)

    B)            (?1, 1)?{0}

    C)            [?1, 1]

    D)            [?1, 1]?{0}

    Correct Answer: D

    Solution :

               \[1+x\ge 0\,\,\Rightarrow \,\,x\ge -1\]; \[1-x\ge 0\,\,\Rightarrow \,\,x\le 1,\,\,x\ne 0\]            Hence domain is \[[-1,\,1]-\{0\}\].


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